Multiply each preceding term by 4.
It is increasing by odd numbers consecutively._______or: n = the term number, the rule is: n2 or n(n). 12=1(1x1=1), 22=4(2x2=4), 32=9(3x3=9), and so on.
The rule is 5, 10, 15 and so the next number will be 20+31 = 51
There are actually more than a pattern rule for that type of sequence. The pattern rule is not obvious. The sequence is actually this: an = 5a(n - 2) for n > 2, such that the seed values are a1 = 1 and a2 = 5. Another pattern rule is the number of palindromes using a maximum of five different symbols. The third one is the Inverse Binomial Mean transformation of the Fibonacci sequence.
So you're adding 3, 5, 7, 9, 11 etc 1, 4, 9, 16, 25, 36, 49
Double the previous number
t(n) = n2
add 3,5,7,9and then to 25 add 11, adding odd numbers onto the last . 1+3=4, 4+5=9, 9+7=16, 16+9=25, 25+11=36 and so on
Multiply each preceding term by 4.
It is increasing by odd numbers consecutively._______or: n = the term number, the rule is: n2 or n(n). 12=1(1x1=1), 22=4(2x2=4), 32=9(3x3=9), and so on.
t(n) = (n+1)2 where n = 1, 2, 3, ...
There are actually more than a pattern rule for that type of sequence. The pattern rule is not obvious. The sequence is actually this: an = 5a(n - 2) for n > 2, such that the seed values are a1 = 1 and a2 = 5. Another pattern rule is the number of palindromes using a maximum of five different symbols. The third one is the Inverse Binomial Mean transformation of the Fibonacci sequence.
So you're adding 3, 5, 7, 9, 11 etc 1, 4, 9, 16, 25, 36, 49
I think it is to start at 1 and multiply by 5 each time. So, 1*5=5, 5*5=25, 25*5=125 etc.
The rule is 5 10 15 20 25 30 .... etc and accordingly the next number in the sequence will be 106
the next number in the sequence is 25............starting at the beginning, you add the odd numbers to the existing number to get the answer. Add "1" to 0, get 1; add "3" to 1, get 4; add "5" to 4, get 9; add "7" to 9 to get 16........and add "9" to 16 to get 25.........
Every number is double the previous number, where the first number is 1.